In: Chemistry
At a temp below room temp but with all components as gases, the decomposition of iodine monochloride, ICl, to iodine and chlorine, is 1.4*10^-5
2ICl (g)----> I2 (g) + Cl2 (g)
If a sealed vessel has [ICl]=1.87 M, and no iodine or chlorine. What are the equilibrium cocentrations?
2ICl (g) I2 (g) + Cl2 (g)
initial conc.(M) 1.87 0 0
change -2a +a +a
Equb conc(M) 1.87-2a a a
Equilibrium constant , Kc = ([I2 (g)] [Cl2 (g)]) / [ICl]2
1.4x10-5 = (a x a ) / (1.87-2a)2
1.4x10-5 = a2 / (1.87-2a)2
a / (1.87-2a) = 3.74x10-3
a = 6.997x10-3 - 7.48x10-3 a
8.48x10-3 a = 6.997x10-3
a = 6.94x10-3 M
So Equilibrium concentration of I2 (g) = Cl2 (g) = a = 6.94x10-3 M
Equilibrium concentration of ICl (g) = 1.87-2a
= 1.87 -(2x6.94x10-3 )
= 1.86 M